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Q#1
Data Converters
GATE EE 2006
MCQ
+2 marks
-0.66 marks
It is required to design an anti-aliasing filter for an 8 bit ADC. The filter is a first order RC filter with R = 1W and C = 1F. The ADC is designed to span a sinusoidal signal with peak to peak amplitude equal to the full range of the ADC.

What is the SNR (in dB) of the ADC? Also find the frequency (in decades) at the filter output at which the filter attenuation just exceeds the SNR of the ADC.
50 dB, 2 decades
50 dB, 2.5 decades
60 dB, 2 decades
60 dB, 2.5 decades
Explanation:
SNR for ADC = 6.02N+1.76dB
For 8 bit ADC
SNR=49.92 dB
Transfer function of RC Filter


At high frequency

Attenuation in dB = 

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